Theoretical Analysis Around Arbitrary-Shaped Hole with Free or Fixed Boundary of Transversely Isotropic Piezoelectric Materials under Out-of-Plane Shear Loadings

Abstract

In this paper, two-dimensional electro elastic analysis is performed for transversely isotropic piezoelectric materials containing arbitrary-shaped hole under the out-of-plane mechanical and in-plane electrical loads at infinity. General closed-formed solutions are provided in terms of complex functions by using the conformal mapping technique. Using the solution, several numerical examples are shown by graphical representation for various arbitrary-shaped holes. The effect of stress concentration on arbitrary-shaped holes is discussed.